Introduction to probability models / Sheldon M. Ross.
Introduction to Probability Models.
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Online Access: |
Full Text (via ScienceDirect) |
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Main Author: | |
Format: | eBook |
Language: | English |
Published: |
Boston :
Academic Press,
[1993]
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Edition: | Fifth edition. |
Subjects: |
MARC
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245 | 1 | 0 | |a Introduction to probability models / |c Sheldon M. Ross. |
250 | |a Fifth edition. | ||
264 | 1 | |a Boston : |b Academic Press, |c [1993] | |
264 | 4 | |c ©1993. | |
300 | |a 1 online resource (xi, 556 pages) : |b illustrations. | ||
336 | |a text |b txt |2 rdacontent. | ||
337 | |a computer |b c |2 rdamedia. | ||
338 | |a online resource |b cr |2 rdacarrier. | ||
504 | |a Includes bibliographical references and index. | ||
505 | 0 | |a Front Cover; Introduction to Probability Models; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction to Probability Theory; 1.1. Introduction; 1.2. Sample Space and Events; 1.3. Probabilities Defined on Events; 1.4. Conditional Probabilities; 1.5. Independent Events; 1.6. Bayes' Formula; Exercises; References; Chapter 2. Random Variables; 2.1. Random Variables; 2.2. Discrete Random Variables; 2.3. Continuous Random Variables; 2.4. Expectation of a Random Variable; 2.5. Jointly Distributed Random Variables; 2.6. Moment Generating Functions; 2.7. Limit Theorems. | |
505 | 8 | |a 2.8. Stochastic ProcessesExercises; References; Chapter 3. Conditional Probability and Conditional Expectation; 3.1. Introduction; 3.2. The Discrete Case; 3.3. The Continuous Case; 3.4. Computing Expectations by Conditioning; 3.5. Computing Probabilities by Conditioning; 3.6. Some Applications; Exercises; Chapter 4. Markov Chains; 4.1. Introduction; 4.2. Chapman-Kolmogorov Equations; 4.3. Classification of States; 4.4. Limiting Probabilities; 4.5. Some Applications; 4.6. Branching Processes; 4.7. Time Reversible Markov Chains; 4.8. Markov Decision Processes; Exercises; References. | |
505 | 8 | |a Chapter 5. The Exponential Distribution and the Poisson Process5.1. Introduction; 5.2. The Exponential Distribution; 5.3. The Poisson Process; 5.4. Generalizations of the Poisson Process; Exercises; References; Chapter 6. Continuous-Time Markov Chains; 6.1. Introduction; 6.2. Continuous-Time Markov Chains; 6.3. Birth and Death Processes; 6.4. The Kolmogorov Differential Equations; 6.5. Limiting Probabilities; 6.6. Time Reversibility; 6.7. Uniformization; 6.8. Computing the Transition Probabilities; Exercises; References; Chapter 7. Renewal Theory and Its Applications; 7.1. Introduction. | |
505 | 8 | |a 7.2. Distribution of N(t)7.3. Limit Theorems and Their Applications; 7.4. Renewal Reward Processes; 7.5. Regenerative Processes; 7.6. Semi-Markov Processes; 7.7. The Inspection Paradox; 7.8. Computing the Renewal Function; Exercises; References; Chapter 8. Queueing Theory; 8.1. Introduction; 8.2. Preliminaries; 8.3. Exponential Models; 8.4. Network of Queues; 8.5. The System M/G/1; 8.6. Variations on the M/G/1; 8.7. The Model G/M/1; 8.8. Multiserver Queues; Exercises; References; Chapter 9. Reliability Theory; 9.1. Introduction; 9.2. Structure Functions. | |
505 | 8 | |a 9.3. Reliability of Systems of Independent Components9.4. Bounds on the Reliability Function; 9.5. System Life as a Function of Component Lives; 9.6. Expected System Lifetime; 9.7. Systems with Repair; Exercises; References; Chapter 10. Brownian Motion and Stationary Processes; 10.1. Brownian Motion; 10.2. Hitting Times, Maximum Variable, and the Gambler's Ruin Problem; 10.3. Variations on Brownian Motion; 10.4. Pricing Stock Options; 10.5. White Noise; 10.6. Gaussian Processes; 10.7. Stationary and Weakly Stationary Processes; 10.8. Harmonic Analysis of Weakly Stationary Processes; Exercises. | |
520 | |a Introduction to Probability Models. | ||
546 | |a English. | ||
588 | 0 | |a Print version record. | |
650 | 0 | |a Probabilities. |0 http://id.loc.gov/authorities/subjects/sh85107090. | |
650 | 7 | |a Probabilities. |2 fast |0 (OCoLC)fst01077737. | |
776 | 0 | 8 | |i Print version: |a Ross, Sheldon M. |t Introduction to probability models. |b Fifth edition |z 0125984553 |w (DLC) 93009266 |w (OCoLC)27381657. |
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